Pith. sign in

Paper Citation Record · LEDGER

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation

As of 7 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.26167.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.26167 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T00:46:14.847287Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20e3fb50-fc4a-4080-8756-95bbbdaf495b · outbound

This paper cites an unresolved cited work.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:12.413489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:12.413489Z digest=sha256:89e347e0f325d83512b4d70cd158c131969c09b0e7867126775825a3e4ad0709

Observation a0b11102-f5b9-403f-9796-71a85135d9e9 · outbound

This paper cites K., On the discrete Safronov-Dubovski ˇi coagulation equations: well- posedness, mass conservation, and asymptotic behavior,Math.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation K., On the discrete Safronov-Dubovski ˇi coagulation equations: well- posedness, mass conservation, and asymptotic behavior,Math

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:12.492511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:12.492511Z digest=sha256:237875ec6a762fdc5da9481c74807be2224c98bb54aa5ec33033924eb588ee68

Observation 8c15f1e6-d3de-472e-ad14-871fc1738c49 · outbound

This paper cites K., Global existence of solutions to the discrete Safronov-Dubovski ˇi coagulation equations and failure of mass-conservation,J.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation K., Global existence of solutions to the discrete Safronov-Dubovski ˇi coagulation equations and failure of mass-conservation,J

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:12.585623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:12.585623Z digest=sha256:3b4a4bf2655e20359558191dcc07925c299a817875d2e7dd2cf10821d047956b

Observation fbac1133-0e3a-4629-9c08-a90f25f33497 · outbound

This paper cites Gelation in cluster coagulation processes.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Gelation in cluster coagulation processes

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:12.710612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:12.710612Z digest=sha256:d25abee5fb71436c32168bc5f553fb188eaa99577a8cd669e1555fa6f74bcc27

Observation b9ca08b9-7ee5-48b1-aaa4-c9f9b114fb40 · outbound

This paper cites Methods Appl.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Methods Appl

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:12.823812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:12.823812Z digest=sha256:6771e9da02f0eb9f61000ed359aa8c6e1b09b6c60a9b8214715b011ae05716a3

Observation 27342f71-26ea-4b67-a997-cf5c52ec4796 · outbound

This paper cites an unresolved cited work.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:12.911385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:12.911385Z digest=sha256:380b491fe4863b1616525866b1c4a6f9baf711ec904625b516c3028bc6a9e28c

Observation c6d799a6-bf6d-4ab0-bcd3-909df0c01ab9 · outbound

This paper cites an unresolved cited work.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:13.017813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:13.017813Z digest=sha256:849528f345b864ccce716a73623c6d87a1a6223549a5097db86152900dd23dff

Observation 3d81940c-89d6-41fd-bad9-45b28b189b9f · outbound

This paper cites K., Rai, P., Giri, A.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation K., Rai, P., Giri, A

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:13.128470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:13.128470Z digest=sha256:cacfffc57cea3ede678634edcd47c78ec77386a5fa5ab1249147e27c07633fd5

Observation ad2c288b-80db-4d0b-a97e-058a2ab1c2a1 · outbound

This paper cites P., On the positivity of solutions to the Smoluchowski equations,Mathematika,42, 406–412, 1995.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation P., On the positivity of solutions to the Smoluchowski equations,Mathematika,42, 406–412, 1995

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:13.272247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:13.272247Z digest=sha256:f2cc4ab993ca302e06e0cf8f9252c39c4396801988bfc135affcdc03703f06c4

Observation 942c9d76-fad4-4197-a180-b3b6cbfe7bf2 · outbound

This paper cites P., Mathematical aspects of coagulation-fragmentation equations, inMathematics of Energy and Climate Change, Springer International Publishing, Cham, 83–162, 2015.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation P., Mathematical aspects of coagulation-fragmentation equations, inMathematics of Energy and Climate Change, Springer International Publishing, Cham, 83–162, 2015

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:13.410628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:13.410628Z digest=sha256:c1dc16da717fa0f7006ebe2c137da330069b2b4fa5cbf8c5ae55271db73e00cc

Observation e397d69d-4015-42f7-8db3-e3126206a45e · outbound

This paper cites an unresolved cited work.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:13.509801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:13.509801Z digest=sha256:c22411a6f3bed30b8441fd76bc600373cee52b142eb62c2d0d038e8850cb4fe5

Observation d3017fa6-88d5-48d9-b315-3e7e4db9da49 · outbound

This paper cites an unresolved cited work.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:13.620431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:13.620431Z digest=sha256:858d4ad77a33a5587b03776805afb0fa51496a54550c5d1839b72e0fca6d6e8e

Observation 35b4ed27-248f-4b83-a8b7-7a69f1475e87 · outbound

This paper cites an unresolved cited work.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:13.766627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:13.766627Z digest=sha256:00106962a9a656bc1ab98806980bd56ad6fd9e4877c739ba58885b2deadcbe0f

Observation 7d51e81c-be1c-4fba-9cb1-89d3b44db362 · outbound

This paper cites B., Structural stability of disperse systems and finite nature of a coagulation front,J.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation B., Structural stability of disperse systems and finite nature of a coagulation front,J

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:13.914747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:13.914747Z digest=sha256:5e8baee90e775b3872fc1c609a12d40a84e56178b07d5b1ff951038b2398765f

Observation 7b400777-736c-46da-b7cd-687a1c0b850b · outbound

This paper cites B., A ‘triangle’ of interconnected coagulation models,J.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation B., A ‘triangle’ of interconnected coagulation models,J

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:14.059887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:14.059887Z digest=sha256:2a9bdd6e5dcb4b42a2f61eaeb320982e69fae0368458f753197a61f6149d5acd

Observation 7ab4e9c1-d517-45a3-8a41-2947db61ade4 · outbound

This paper cites Math´ ematique,363(G6), 583–591, 2025.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Math´ ematique,363(G6), 583–591, 2025

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:14.163901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:14.163901Z digest=sha256:f67891f1dd2d19d337702e1ff271909e94988ef138d373f2a95637ab985cb3ab

Observation 256df456-4af8-4b82-85d4-fe1069c41fb1 · outbound

This paper cites P., Theoretical analysis of a discrete population balance model with sum kernel,Port.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation P., Theoretical analysis of a discrete population balance model with sum kernel,Port

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:14.222517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:14.222517Z digest=sha256:1b7600ef1f4a874b774246dc11feae79ad5e212cf63588fc6363cc27775a462a

Observation c6403658-4d52-400f-a6f6-f4a896d3c2f9 · outbound

This paper cites an unresolved cited work.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:14.336664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:14.336664Z digest=sha256:6f59d47ec87432e3449c34bccebc16492b51755be420ab2cc1dd724af16f0b0c

Observation c498ac79-80a7-4e62-ad77-58f2ff47c738 · outbound

This paper cites an unresolved cited work.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:14.465049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:14.465049Z digest=sha256:30c8399fc0bce33a2c6ad3ed21c12147739d70ff80ab8efe2e95a5b986798e53

Observation 072e2ca7-9b80-4148-bda1-1531c4452cdc · outbound

This paper cites an unresolved cited work.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:14.570950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:14.570950Z digest=sha256:0ad5c178f26d696ddf62d40d30676d71166cba56cc4acd9c822d31c3c6878731

Observation 8a3d98bd-22b1-494c-beae-ec9fa73dc9a5 · outbound

This paper cites H., Van de Hulst, H.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation H., Van de Hulst, H

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:14.661826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:14.661826Z digest=sha256:2f2ff6f78a8ebef978618aae71cbc1a2d4449a0c6af4bc5bb5d81dfdeb3ab812

Observation bd2e4920-7cbc-4df9-8452-8a171b392c59 · outbound

This paper cites Probab.,41(3B), 1806–1830, 2013.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation Probab.,41(3B), 1806–1830, 2013

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:14.764796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:14.764796Z digest=sha256:1034cdacec60407b8c50b2ac23633378819618dec66973a424619837a38bb742

Observation 3e7165a8-06d0-4d8b-865f-d9cd5d639e0a · outbound

This paper cites S.,Evolution of the Protoplanetary Cloud and Formation of the Earth and the Planets, Israel Program for Scientific Translations, Jerusalem, 1972.

Gelation and Positivity of Solutions to the Discrete Oort--Hulst--Safronov Coagulation Equation S.,Evolution of the Protoplanetary Cloud and Formation of the Earth and the Planets, Israel Program for Scientific Translations, Jerusalem, 1972

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-01T00:46:14.847287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:46:14.847287Z digest=sha256:5b2c2783d48609398f3a82a5401181a2a39c23fe49f576e5f9ad4e83b3b24c43

Pith citing papers

No inbound Pith citation observations are available.